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Finding the Fourth Proportional to 1,381.37, 1,906.49 and 857.57

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Solution

The fourth proportional to 1,381.37, 1,906.49 and 857.57 is: 1,183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,381.37 : 1,906.49 = 857.57 : x
  2. Step 2: Convert to fraction form
    1,381.37/1,906.49 = 857.57/x
  3. Step 3: Cross multiply
    1,381.37x = 1,906.49 × 857.57
  4. Step 4: Simplify right side
    1,381.37x = 1,634,948.63
  5. Step 5: Solve for x
    x = 1,634,948.63/1,381.37
  6. Step 6: Final answer
    x = 1,183.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.